## Unit description of WACE Maths Methods Unit 3 Year 12 ATAR Course

The study of calculus of WACE Maths Methods Unit 3 Year 12 ATAR Course continues with the derivatives of exponential and trigonometric functions and their applications, together with some differentiation techniques and applications to optimisation problems and graph sketching.

It concludes with integration, both as a process that reverses differentiation and as a way of calculating areas.

The fundamental theorem of calculus as a link between differentiation and integration is emphasised.

In statistics, discrete random variables are introduced, together with their uses in modelling random processes involving chance and variation.

This supports the development of a framework for statistical inference.

Access to technology to support the computational aspects of these topics is assumed.

## Learning outcomes of WACE Maths Methods Unit 3 Year 12 ATAR Course

By the end of this unit, students:

- understand the concepts and techniques in calculus, probability and statistics
- solve problems in calculus, probability and statistics
- apply reasoning skills in calculus, probability and statistics
- interpret and evaluate mathematical and statistical information and ascertain the reasonableness of solutions to problems.
- communicate their arguments and strategies when solving problems.

*referred from Mathematics Methods ATAR Course Year 12 Syllabus Western Australia School Curriculum and Standards Authority 1 January 2015*

#### Differentiation of Trigonometric Function

- Small Angles
- Differentiation of Sine Function : Chain Rule
- Differentiation of Sine Function : Product Rule
- Differentiation of Sine Function : Quotient Rule
- Differentiation of Cosine Function : Chain Rule
- Differentiation of Cosine Function : Product Rule
- Differentiation of Cosine Function : Quotient Rule
- Differentiation of Tangent Function
- Applications of Differentiation